Study of the application of Hurst parameter in pulsar timing residuals analysis

Abstract

The timing residual characteristics of of 14 millisecond pulsars monitoredwith North American Nanohertz Observatory for Gravitational Waves (NANOGrav) in the time-domain was analyzed. It was found that the root mean square of timing residuals has nothing to do with Hurst parameters. The long data span will help to estimate the biased random characteristics of timing residual according to Hurst parameters. By data comparison, it was showed by several timing noise estimations that Hurst parameters were valid in estimating if a low frequency red noise exists, which can serve as a complementary to mainstream method for analysis of red noise analysis. These results will further expand the analysis of pulsar timing noise in time-domain.